On the symmetric α-stable distribution with application to symbol error rate calculations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The probability density function (PDF) of the symmetric α-stable distribution is investigated using the inverse Fourier transform of its characteristic function. For general values of the stable parameter α, it is shown that the PDF and the cumulative distribution function of the symmetric stable distribution can be expressed in terms of the Fox H function as closed-form. As an application, the probability of error of single input single output communication systems using different modulation schemes with an α-stable perturbation is studied. In more details, a generic formula is derived for generalized fading distribution, such as the extended generalized-k distribution. Later, simpler expressions of these error rates are deduced for some selected special cases and compact approximations are derived using asymptotic expansions.
Original languageEnglish (US)
Title of host publication2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781509032549
DOIs
StatePublished - Dec 24 2016

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